Information Geometry

by Nihat Ay, Lorenz Schwachhofer, Hong Van Le, et al.

Book Overview

The book provides a comprehensive introduction and a novel mathematical foundation of the field of information geometry with complete proofs and detailed background material on measure theory, Riemannian geometry and Banach space theory. Parametrised measure models are defined as fundamental geometric objects, which can be both finite or infinite dimensional. Based on these models, canonical tensor fields are introduced and further studied, including...

• Format: Hardcover
• Language: English
• ISBN: 3319564773
• ISBN13: 9783319564777
• Release Date: October 2017
• Publisher: Springer
• Length: 407 Pages
• Weight: 1.68 lbs.
• Dimensions: 0.9" x 6.1" x 9.2"